Please use this identifier to cite or link to this item:
https://scholarbank.nus.edu.sg/handle/10635/103803
Title: | On the grading numbers of direct products of chains | Authors: | Chen, C.C. Koh, K.M. Lee, S.C. |
Issue Date: | Mar-1984 | Citation: | Chen, C.C.,Koh, K.M.,Lee, S.C. (1984-03). On the grading numbers of direct products of chains. Discrete Mathematics 49 (1) : 21-26. ScholarBank@NUS Repository. | Abstract: | For a finite lattice L, denote by l*(L) and l*(L) respectively the upper length and lower length of L. The grading number g(L) of L is defined as g(L) = l*(Sub(L))-l*(Sub(L)) where Sub(L) is the sublattice-lattice of L. We show that if K is a proper homomorphic image of a distributive lattice L, then l*(Sub(K)) < l*(Sub(L)); and derive from this result, formulae for l*(Sub(L)) and g(L) where L is a product of chains. © 1984. | Source Title: | Discrete Mathematics | URI: | http://scholarbank.nus.edu.sg/handle/10635/103803 | ISSN: | 0012365X |
Appears in Collections: | Staff Publications |
Show full item record
Files in This Item:
There are no files associated with this item.
Google ScholarTM
Check
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.